406890720 has 72 divisors (see below), whose sum is σ = 1388519496. Its totient is φ = 108503808.

The previous prime is 406890713. The next prime is 406890751. The reversal of 406890720 is 27098604.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139842 + ... + 142721.

It is an arithmetic number, because the mean of its divisors is an integer number (19284993).

Almost surely, 2^406890720 is an apocalyptic number.

406890720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406890720 is an abundant number, since it is smaller than the sum of its proper divisors (981628776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406890720 is a wasteful number, since it uses less digits than its factorization.

406890720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282584 (or 282573 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 406890720 is about 20171.5324157586. The cubic root of 406890720 is about 741.0131726857.

The spelling of 406890720 in words is "four hundred six million, eight hundred ninety thousand, seven hundred twenty".